#include #include #include #include #include #include #include #include #include #include #include #include #include #include #define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl; #define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } using namespace std; typedef long long ll; template vector> vec2d(int n, int m, T v){ return vector>(n, vector(m, v)); } template vector>> vec3d(int n, int m, int k, T v){ return vector>>(n, vector>(m, vector(k, v))); } template void print_vector(vector v, char delimiter=' '){ if(v.empty()) { cout << endl; return; } for(int i = 0; i+1 < v.size(); i++) cout << v[i] << delimiter; cout << v.back() << endl; } using mint = atcoder::modint998244353; ostream& operator<<(ostream& os, const mint& m){ os << m.val(); return os; } int main(){ ios::sync_with_stdio(false); cin.tie(0); cout << setprecision(10) << fixed; int n, m; cin >> n >> m; vector a(n); for(int i = 0; i < n; i++) cin >> a[i]; int sum = 0; for(int i = 0; i < n; i++){ if(i%2 == 0) sum += a[i]; else sum -= a[i]; sum %= m; sum += m; sum %= m; } if(sum != 0){ cout << -1 << endl; return 0; } sum = 0; mint ans = 0; auto include = [&](int l, int r, int rem){ if(r < l) swap(l, r); int x = l/m; for(int i = x-10; i <= x+10; i++){ int y = i*m+rem; if(l <= y && y <= r) { return true; } } return false; }; for(int i = 0; i < n; i++){ int tail_len = n-i-1; mint tail_pat_all = mint(m-1).pow(tail_len); if(a[i] == 0) continue; if(tail_len%2 == 0){ mint tail_ave = (tail_pat_all-1)/m; ans += a[i]*tail_ave; // 0が一つ多い if(i%2 == 0){ if(include(sum, sum+a[i]-1, 0)) ans++; }else{ if(include(sum, sum-(a[i]-1), 0)) ans++; } }else{ mint tail_ave = (tail_pat_all+1)/m; ans += a[i]*tail_ave; // m-1が一つ少ない if(i%2 == 0){ if(include(sum, sum+a[i]-1, 1)) ans--; }else{ if(include(sum, sum-(a[i]-1), 1)) ans--; } } if(i%2 == 0) sum += a[i]; else sum -= a[i]; sum %= m; sum += m; sum %= m; } cout << ans+1 << endl; }